5205415041696 has 96 divisors (see below), whose sum is σ = 13756192281216. Its totient is φ = 1723461120000.

The previous prime is 5205415041653. The next prime is 5205415041713. The reversal of 5205415041696 is 6961405145025.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220921756 + ... + 220945316.

It is an arithmetic number, because the mean of its divisors is an integer number (143293669596).

Almost surely, 2^{5205415041696} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5205415041696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6878096140608).

5205415041696 is an abundant number, since it is smaller than the sum of its proper divisors (8550777239520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5205415041696 is a wasteful number, since it uses less digits than its factorization.

5205415041696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38966 (or 38958 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 48.

The spelling of 5205415041696 in words is "five trillion, two hundred five billion, four hundred fifteen million, forty-one thousand, six hundred ninety-six".